Dear all!

I have some monthly inflation CPI data and wanted to create two new time series. First, to annualize them and then to generate a new series of a two percent (2%) average annual inflation increase rate. My example is provided below. Which, as final goal I have to compare with the quarterly data again below in a graph. The constant annual constant 2% average inflation increase rate should be shown probably with a straight line.
I'd be grateful if you could point me in the right direction.

Thank you so much for your help.

Mario,

Monthly data

Code:
* Example generated by -dataex-. To install: ssc install dataex
clear
input float(time cpimonthly)
14245 76.54
14276 76.78
14304 76.93
14335 76.97
14365 77.06
14396 77.03
14426 77.04
14457 77.04
14488    77
14518 77.04
14549 77.14
14579 77.27
14610 77.21
14641 77.41
14670 77.49
14701 77.66
14731 77.67
14762 77.79
14792 77.85
14823 77.94
14854 77.95
14884 78.04
14915 78.14
14945 78.46
14976 78.24
15007 78.41
15035 78.86
15066 79.31
15096 79.56
15127  79.7
15157 79.67
15188 79.66
15219 79.83
15249 80.07
15280 80.12
15310  80.6
15341 80.64
15372 80.75
15400 81.16
15431  81.4
15461  81.6
15492 81.63
15522 81.54
15553 81.56
15584 81.73
15614 81.89
15645 81.96
15675 82.35
15706 82.05
15737 82.28
15765 82.71
15796 83.06
15826 83.17
15857 83.28
15887 83.09
15918 83.17
15949 83.49
15979 83.65
16010 83.71
16040 84.01
16071  83.7
16102 83.93
16131 84.41
16162 84.78
16192  84.9
16223 85.02
16253 84.76
16284 84.81
16315 84.95
16345 85.08
16376 85.12
16406 85.61
16437    85
16468 85.22
16496 85.73
16527 85.94
16557 86.18
16588 86.15
16618 85.82
16649 85.91
16680 86.14
16710 86.34
16741 86.41
16771 86.82
16802 86.17
16833 86.39
16861  86.9
16892 87.28
16922 87.45
16953 87.53
16983 87.28
17014 87.36
17045 87.67
17075 87.92
17106 88.01
17136 88.37
end
format %td time
Quarterly

Code:
* Example generated by -dataex-. To install: ssc install dataex
clear
input float(time cpiquarterly )
156     76.75
157     77.02
158  77.02666
159     77.15
160     77.37
161  77.70667
162  77.91333
163  78.21333
164  78.50333
165  79.52333
166     79.72
167  80.26334
168     80.85
169  81.54333
170     81.61
171  82.06667
172  82.34666
173     83.17
174     83.25
175     83.79
176  84.01334
177      84.9
178     84.84
179     85.27
180  85.31667
181     86.09
182  85.95667
183  86.52333
184  86.48666
185     87.42
186  87.43667
187      88.1
188  88.17667
189      89.2
190  89.19333
191  90.15334
192     90.44
193  91.49333
194  91.55333
195  92.22667
196  92.01667
197     92.81
198  92.45333
199     92.98
200  92.69334
201  93.66333
202  93.50333
203  94.15666
204  93.94666
205  95.31333
206  95.04333
207  96.00667
208  95.74333
209  97.10667
210     96.82
211  97.74667
212     97.37
213  98.60667
214  98.28333
215  98.75667
216  98.31667
217  99.27666
218     98.89
219     99.37
220  98.89333
221 100.39333
222 100.19666
223 100.52333
224  99.80334
225    101.18
226    101.08
227    101.32
228 100.86667
229 102.39333
230 102.36667
231 102.52666
232 102.05333
233    103.74
234    103.76
235 103.77666
236    103.24
237 104.94667
238    104.94
239 105.17333
240 104.62666
241 106.41334
242 105.83334
243 105.75667
244 105.90334
245    107.27
246    107.42
247    108.34
248 109.09333
249 112.17667
250    113.71
251 115.96667
end
format %tq time